A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec at an angle of 86 degrees to the starting line. The position of the person throwing the bowling ball can be represented by the point (0,0). Where is the ball after 8 seconds?

Respuesta :

Answer:(0.6,10.6) after 8 seconds.

Step-by-step explanation:

Answer:

The position of ball is (0.78, 11.17) after 8 seconds.

Step-by-step explanation:

A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec at an angle of 86 degrees to the starting line.

Horizontal Position:

[tex]x=v\cos\theta \times t[/tex]

Vertical Position:

[tex]y=v\sin\theta \times t[/tex]

[tex]v=1.4\ m/s[/tex]

[tex]\theta=86^\circ[/tex]

[tex]t=8\ sec[/tex]

Substitute the value into formula

[tex]x=1.4\cos86^\circ \times 8[/tex]

[tex]x=0.78\ m[/tex]

[tex]y=1.4\sin86^\circ \times 8[/tex]

[tex]y=11.17\ m[/tex]

Hence, The position of ball is (0.78,11.17)